PageContext

Index To Math Model Symbols

©2013 PerfectLogic Corporation, All Rights Reserved

Entries in the table below define the symbols used in the development of the mathematical model of flight dynamics.


Symbol Definitions

Symbol Description
Orthogonal unit vectors along the axes of the Earth-Centered, Earth-Fixed (ECEF) frame of reference
Orthogonal unit vectors along the axes of North-Oriented, Local-Level (NOLL) frame of reference
Orthogonal unit vectors along theaxes of the Velocity-Oriented (VO) frame of reference
Orthogonal unit vectors along theaxes of the Body-fixed frame of reference
Rotation operator that transforms vectors expressed relative to the North-Oriented, Local-Level (NOLL) frame of reference to equivalent vectors relative to the Earth-Centered, Earth-Fixed (ECEF) frame
Rotation operator that transforms vectors expressed relative to the Earth-Centered, Earth-Fixed (ECEF) frame of reference to equivalent vectors relative to the North-Oriented, Local-Level (NOLL) frame
Rotation operator that transforms vectors expressed relative to the Velocity-Oriented (VO) frame of reference to equivalent vectors relative to the North-Oriented, Local-Level (NOLL) frame
Rotation operator that transforms vectors expressed relative to the North-Oriented, Local-Level (NOLL) frame of reference to equivalent vectors relative to the Velocity (VO) frame
Rotation operator that transforms vectors expressed relative to the Body-fixed (BODY) frame of reference to equivalent vectors relative to the Velocity-Oriented (VO) frame
Rotation operator that transforms vectors expressed relative to the Velocity-Oriented (VO) frame of reference to equivalent vectors relative to the Body-fixed (BODY) frame
Earth rate
Aerodynamic lift
Commanded lift
Aerodynamic drag
Engine thrust as a function of time
Commanded thrust
Total force acting at the aircrafts center of gravity
Component of total force parallel to the aircrafts velocity vector
Component of total force normal to the aircrafts velocity vector
m, m(t) Instantaneous aircraft mass
Mass of the fully loaded aircraft
Aircraft position at time, t, relative to the Earth-Centered, Earth-Fixed (ECEF) frame
h Aircraft altitude
Aircraft roll angle
Aircraft pitch angle
Yaw
True aircraft heading
Magnetic aircraft heading
Desired heading
Commanded heading
Flight path angle
Acceleration due to gravity at a distance, r, from the earths center
Flight path angle
Commanded flight path angle
Desired flight path angle
Geodetic Latitude
Geodetic Longitude
Aircraft's earth relative velocity
Commanded speed
Desired speed
Groundspeed
True airspeed
Indicated airspeed
Mach number
T, T(h) Ambient air temperature as a function of altitude, h
Static air pressure as a function of altitude, h
Stagnation or total air pressure as measured by a Pitot-Static system
Air density as a function of altitude, h
Air density with corresponding pressure
Speed of sound in air as a function of altitude